Geometry

Points, Lines & Planes

Angles

• Linear equations with variables on both sides. Linear equations with parenthesis. Analyzing the number of solutions to linear equations. Linear equations with unknown coefficients. Multi-step inequalities. Compound inequalities. 

Parallel & Perpendicular Lines

• Parallel, intersecting, skew lines and planes. Construct a perpendicular line. Construct parallel lines. Transversals. Identify angle pairs. Construct a perpendicular line. Proofs involving parallel lines 1 and 2. 

Lines in the Coordinate Planes

• Slopes of lines. Graph a linear equation. Equation of lines. Slopes and equations of parallel and perpendicular lines. Distances between a point and a line. 

Triangles

• Triangle Sum and Exterior Angle Theorems. Exterior angle inequality. Midsegments of triangles. Triangles and bisectors. Medians. Altitudes. Angle and perpendicular bisectors. Angle side relationships in triangles. Triangle Inequality Theorem. Proofs involving triangle I and II. Construct the centroid or orthocenter of a triangle. 

Quadrilaterals

• Identify trapezoids. Classify quadrilaterals I and II. Find missing angles In quadrilaterals. Graph quadrilaterals. Properties of parallelograms. Properties of rhombuses, squares, rectangles, trapezoids and kites. Proofs involving quadrilaterals I and II.

Two-Dimensional Figures

• Interior and interior angles of polygons. Construct an equilateral triangle or regular hexagon. Construct a square. 

Three-Dimensional Figures

• Parts of three-dimensional figures Nets and drawings of three-dimensional figures. Solids of revolution. Cross-sections of three-dimensional figures. 

Logic

Identify hypotheses and conclusions. Counterexamples, conditions and negations. Converses, inverses and contrapositives. Biconditionals. Truth tables and values. 

Congruent Figures

• Introduction. Congruent statements and parts. Problem solving involving corresponding parts. 

Congruent Triangles

• SSS and SAS Theorems. ASA and AAS Theorems. Proving triangles congruent by theorems. Congruency in isosceles equilateral triangles. Proofs involving isosceles triangles. Hypotenuse-Leg Theorem. 

Transformations

• Translations. Graph the image, find the coordinates and write the rule. Reflections. Graph the image and find the coordinates. Rotate polygons about a point. Rotations. Graph the image and find the coordinates. Dilutions. Graph the image and find the coordinates. Scale factor and classification. Parallel lines. 

Similarity

• Similarity ratios and statements. Identify similar figures. Side lengths and and angle measures in similar figures. Similarity rules for triangles. Areas of similar figures. Prove similarity statements. Perimeters of similar figures. Similarity of circles. Prove the Pythagorean Theorem. Prove proportions or angle congruences using similarity. 

Symmetry

• Line and rotational symmetry. Draw and count lines of symmetry. 
  

Right Triangles

• Pythagorean Theorem. Converse of the Pythagorean Theorem. Pythagorean Inequality Theorems. Special right triangles. 

Area and Perimeter

• Perimeter. Angles of rectangles, squares, trapezoids, parallelograms and triangles. Area of compound figures. Area between two shapes. Area and perimeter of similar figures. Area and circumference of circles. Heron’s formula. 

Surface Area and Volume

• Surface area of prisms, cylinders, pyramids, cones, and spheres. Surface area and volume of similar solids. Surface area and volume review. 
  

Circles

• Parts of a circle. Central angles and arc measures. Arc lengths. Areas of sectors. Circle measurements. Arcs and chords. Tangent lines. Perimeter of polygons. Inscribed angles. Perimeters of a polygon with an inscribed circle. 

Circles and Parabolas in the Coordinate Plane

• Find the center of the circle. Find the radius or diameter of a circle. Write equations of circles in standard form graphs. Find properties of circles from equations in general form. Graph circles from equations in standard and general form. Find the vertex of a parabola. Write equations of parabolas. Graph parabolas. 

Measurements

• Convert rates and measurements. Customary and metric units. Precision. Greatest possible error. Percent error. Calculate density, mass and volume. 

Probability

• Theoretical and experimental probability. Outcomes of compound events. Counting principle. Permutations. Identify independent events. Find conditional probabilities. 

Vectors

• Compass direction and vectors. Find the magnitude and the component form of a vector. Add vectors. Subtract vectors.